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Finding the Third Proportional to 371,598 and 802,812

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Solution

The third proportional to 371,598 and 802,812 is: 1,734,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,598 : 802,812 = 802,812 : x
  2. Step 2: Convert to fraction form
    371,598/802,812 = 802,812/x
  3. Step 3: Cross multiply
    371,598x = 802,812 × 802,812
  4. Step 4: Simplify right side
    371,598x = 644,507,107,344
  5. Step 5: Solve for x
    x = 644,507,107,344/371,598
  6. Step 6: Final answer
    x = 1,734,420.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.